Article ID Journal Published Year Pages File Type
4616634 Journal of Mathematical Analysis and Applications 2013 8 Pages PDF
Abstract

In this paper, the qq-analogue of the Stirling formula for the qq-gamma function is used to prove the complete monotonicity property for an infinite class of functions which are all closely related to the qq-gamma function and its logarithmic derivatives (qq-polygamma functions). As an application of this result, the two-sided inequalities for the qq-gamma and the qq-polygamma functions are established.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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